There have been a number of proposed theories about the fate of the universe. And while the heat death theory is now favored, isn't it simply inevitable? Here's what I mean.
Let's assume a big crunch happens. Don't we now have an ultra-massive black hole containing the observable universe? It's going to evaporate due to Hawking radiation. Yes this will take a really long time, but the ultimate fate of the universe is again heat death.
Let's assume the big rip is correct. Again, this is heat death is it not? Everything has expanded out, ripped apart, and only particles remain. Isolated forever and they radiate away any energy they have.
Let's assume no big crunch but no big rip either. Stuff just dies. As things cool over eons, heat radiates away. Either protons decay, or black dwarfs turn into black holes and evaporate over an extreme amount of time, or perhaps we get the supernova at the end of the universe. But since entropy always increases, we'd still eventually get a heat death wouldn't we?